1797770000 has 100 divisors (see below), whose sum is σ = 4687733820. Its totient is φ = 663744000.

The previous prime is 1797769993. The next prime is 1797770047. The reversal of 1797770000 is 777971.

It can be written as a sum of positive squares in 10 ways, for example, as 1774768384 + 23001616 = 42128^2 + 4796^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123086 + ... + 136914.

Almost surely, 2^1797770000 is an apocalyptic number.

1797770000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1797770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343866910).

1797770000 is an abundant number, since it is smaller than the sum of its proper divisors (2889963820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1797770000 is a wasteful number, since it uses less digits than its factorization.

1797770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13870 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 21609, while the sum is 38.

The square root of 1797770000 is about 42400.1179243643. The cubic root of 1797770000 is about 1215.9378466905.

The spelling of 1797770000 in words is "one billion, seven hundred ninety-seven million, seven hundred seventy thousand".